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1、Answer to section 9.3 1 )222223.is continuous,positive,and nonincreasing on 2,.311ln3ln7322xxxdxxx+=+=+)1111125.is continuous,positive,and nonincreasing on 1,.22424 3.Thus2222 diverges,hence also diverges.222kkkxdxxxkkk=+=+=+=+)2277.is continuous,positive,and nonincreasing on 2,.42777ln 42ln10.The s
2、eries diverges.4244xdxxx+=+=+()()()7/67/61/61/61139.is continuous,positive,and nonincreasing on 1,.433660.The series converges.74343xdxxx+=+)22233331111.is continuous,positive,and nonincreasing on 1,.11 0 .The series converges.66xxxxexedxee=+222211113.lim=lim=10,so the series diverges.551kkkkkk+Answer to section 9.3 2 )5556555523.is continuous,positive,and nonincreasing on 5,.05=60.0404.xxxkxkxxxekxEdxxee dxeexeeeee=+=+()()22ln21133.Consider .Let ln,.ln11,which converges for 1.lnpppdxux dudxxxxdupuxx=